Ghetaldi, Marino, Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis

List of thumbnails

< >
21
21 (9) 		22
22 (10)
23
23 (11) 		24
24 (12)
25
25 (13) 		26
26 (14)
27
27 (15) 		28
28 (16)
29
29 (17) 		30
30 (18)
< >
page |< < (14) of 89 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div28" type="section" level="1" n="17">
          <p>
            <s xml:id="echoid-s400" xml:space="preserve">
              <pb o="14" file="0026" n="26" rhead="PROMOTVS"/>
              <note position="left" xlink:label="note-0026-01" xlink:href="note-0026-01a" xml:space="preserve">13. 12.
                <lb/>
              Elem.</note>
            triplicatam rationem habet eius, quam C, ad diametrum ſphæræ B, ergo vt grauitas H, ad grauitatem G, ita erit cubus ex C, ad cubum
              <lb/>
            ex diametro ſphæræ B, ſed vt grauitas H, ad grauitatem G, ita eſt cu
              <lb/>
            bus ex C, ad cubum ex F, ergo cubus ex F, æqualis erit cubo diame-
              <lb/>
            tri ſphæræ B; </s>
            <s xml:id="echoid-s401" xml:space="preserve">quare & </s>
            <s xml:id="echoid-s402" xml:space="preserve">latus F, æquabitur ſphæræ B, diametro. </s>
            <s xml:id="echoid-s403" xml:space="preserve">inuen-
              <lb/>
            ta igitur eſt quantitas diametri liquidæ ſphæræ B, quod facere opor-
              <lb/>
            tebat.</s>
            <s xml:id="echoid-s404" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div31" type="section" level="1" n="18">
          <head xml:id="echoid-head21" xml:space="preserve">Exemplum.</head>
          <p>
            <s xml:id="echoid-s405" xml:space="preserve">Q Vidam proponit aliquod corpus ſolidum notæ
              <lb/>
            magnitudinis, & </s>
            <s xml:id="echoid-s406" xml:space="preserve">vult ſcire quanta erit magnitudo
              <lb/>
            alicuius liquidi, grauitatem habentis propoſito corpori
              <lb/>
            ſolido æqualem.</s>
            <s xml:id="echoid-s407" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s408" xml:space="preserve">Sit propoſitum aliquod corpus plumbeum A, cuius magnitudo ſit
              <lb/>
            10, & </s>
            <s xml:id="echoid-s409" xml:space="preserve">oporteat ſcire quanta erit magnitudo aquæ grauitatem haben-
              <lb/>
            tis æqualem propoſito plumbo A, accipiatur aliquod corpus plumbeũ
              <lb/>
            D, cuius grauitas 23, deinde aquæ magnitudinem habentis æqualem
              <lb/>
            plumbo D, inueniatur grauitas, vt in exemplo propoſ. </s>
            <s xml:id="echoid-s410" xml:space="preserve">8. </s>
            <s xml:id="echoid-s411" xml:space="preserve">dictum eſt,
              <lb/>
            quæ ſit 2, & </s>
            <s xml:id="echoid-s412" xml:space="preserve">fiat vt 2, ad 23, ita 10, ad alium numerum qui ſit 115, is
              <lb/>
            igitur indicabit quanta erit magnitudo aquæ grauitatem habentis
              <lb/>
            æqualem propoſito plumbo A.</s>
            <s xml:id="echoid-s413" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s414" xml:space="preserve">Quod ſi propoſitũ corpus plumbeum A ſit regulare vt po-
              <lb/>
            te ſphæricum, cuius ſphæræ diameter ſit 10, & </s>
            <s xml:id="echoid-s415" xml:space="preserve">oporteat inue-
              <lb/>
            nire quanta erit diameter ſphæræ ex aqua, grauitatem haben-
              <lb/>
            tis æqualem propoſitæ ſphæræ A, ita faciendum erit.</s>
            <s xml:id="echoid-s416" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s417" xml:space="preserve">Accipiatur, vt diximus, aliquod corpus plumbeum D, cuius gra-
              <lb/>
            uitas 23, deinde aquæ habentis magnitudinem æqualem plumbo D,
              <lb/>
            inueniatur grauitas quæ ſit 2, & </s>
            <s xml:id="echoid-s418" xml:space="preserve">fiat vt 2, ad 23, ita cubus ex 10, qui
              <lb/>
            eſt 1000, ad alium numerum qui ſit 11500, is igitur numerus erit
              <lb/>
            cubus diametri ſpbæræ ex aqua grauitatem habentis æqualem propo-
              <lb/>
            ſitæ ſpbæræ A, quare eius latus cubicum, quod est 22 {57/100}, proximũ
              <lb/>
            vero indicabit ipſam diametrum.</s>
            <s xml:id="echoid-s419" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s420" xml:space="preserve">Similiter ſi propoſitum corpus plumbeum A, fuerit cubicum, vel
              <lb/>
            alicuius alterius formæ regularis, eadem ratione inueniemus latus cu
              <lb/>
            bi ex aqua grauitatem habentis æqualem propoſito cubo A, nam ſi cu-
              <lb/>
            bi A, datum ſit latus 10, erit numerus 11500, cubus ex aqua æqualis
              <lb/>
            grauitate propoſito cubo A, quare latus cubicum numeri 11500, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum